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Question
Find the coordinates of the point where the line through (5, 1, 6) and (3, 4, 1) crosses the ZX − plane.
Solution
It is known that the equation of the line passing through the points, (x1, y1, z1) and (x2, y2, z2), is
Any point on the line is of the form (5 − 2k, 3k + 1, 6 −5k).
Since the line passes through ZX-plane,
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